Geodesic
Fixed point results for generalized \(\alpha\)-\(\psi\)-contractions in metric-like spaces and applications
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we introduce the concept of generalized $\alpha{-}\psi$-contraction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fixed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered.
Classification : 47H10, 54H25
Keywords: metric-like, alpha-admissible mappings, fixed point 
@article{EJDE_2015__2015__a63,
     author = {Aydi,  Hassen and Karapinar,  Erdal},
     title = {Fixed point results for generalized \(\alpha\)-\(\psi\)-contractions in metric-like spaces and applications},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1320.54027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a63/}
}
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Aydi,  Hassen; Karapinar,  Erdal. Fixed point results for generalized \(\alpha\)-\(\psi\)-contractions in metric-like spaces and applications. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a63/